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How many numbers are there between 100 and 1000 such that every digit is either 2 or 9?

How many numbers are there between 100 and 1000 such that every digit is either 2 or 9?

Grade:8

2 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,
The numbers between 100 and 1000 are clearly the three digit number.
All the three digits can be filled by 2 ways.
=> 2*2*2 = 8 ways
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Harsh Parashar
30 Points
3 years ago
Total Digits Given = 2
The cases when 1st digit is to be filled = 2
The cases when 2nd digit is to be filled = 2
The cases when 3rd digit is to be filled= 2
Total cases when all the three digits to be filled with= 2×2×2=8

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